Use the color property of a FlxSprite to tint a sprite’s graphic to a specific color. This applies the color to the whole graphic uniformly.

// sprite will be tinted red
sprite.color = 0xff0000;

Demonstration

package;

import flixel.FlxG;
import flixel.FlxSprite;
import flixel.FlxState;
import flixel.util.FlxColor;

class PlayState extends FlxState
{
	var hue:Float = 0;
	var sprite:FlxSprite;
	
	override function create()
	{
		super.create();
		
		sprite = new FlxSprite("assets/bigbox.png");
		sprite.screenCenter();
		add(sprite);
	}
	
	override function update(elapsed:Float)
	{
		hue += elapsed * 50;
		if (hue > 360)
			hue -= 360;
			
		var color = FlxColor.fromHSB(Std.int(hue), 1, 1);
		sprite.color = color;
		
		super.update(elapsed);
	}
}